Question

The sides of MNPQ are represented by the expressions below. Find the perimeter of MNPQ.

MW=-2+37

QP= y+14

NP= x-5

MN=4y+5

perimeter: ? units

Answer 1

Explanation:

The perimeter of a polygon is the sum of the lengths of all its sides. To find the perimeter of MNPQ, we need to add up the lengths of MN, NP, PQ and PM.

Given that:

MW=-2+37 = 35

QP= y+14

NP= x-5

MN=4y+5

The perimeter can be calculated by adding up the above expressions:

Perimeter = MN + NP + QP + MW

= (4y + 5) + (x - 5) + (y + 14) + 35

= 4y + x + y + 54

= (4y + y) + (x + 54)

= 5y + x + 54

So the perimeter of MNPQ is 5y + x + 54 units.